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Geometric Concepts3
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Mathematical Spectrum3
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Fletcher, T. J.1
Patterson, E. M.1
Rogers, Pat1
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Irrational Rectangles
Peer reviewed Peer reviewed
Fletcher, T. J. – Mathematical Spectrum, 1970
Descriptors: Algebra, Geometric Concepts, Mathematics, Number Concepts
The New Geometry
Peer reviewed Peer reviewed
Patterson, E. M. – Mathematical Spectrum, 1971
The basic ideas of the theory of manifolds is illustrated using elementary geometry. (MM)
Descriptors: College Mathematics, Geometric Concepts, Mathematical Models, Mathematics
The Parallel Axiom
Peer reviewed Peer reviewed
Rogers, Pat – Mathematical Spectrum, 1972
Criteria for a reasonable axiomatic system are discussed. A discussion of the historical attempts to prove the independence of Euclids parallel postulate introduces non-Euclidean geometries. Poincare's model for a non-Euclidean geometry is defined and analyzed. (LS)
Descriptors: College Mathematics, Geometric Concepts, Mathematical Concepts, Mathematical Logic